Q6

1. What is the area under the normal distribution curve to the left of z = 0.87?

2. What is the z-value to the right of the mean where 59.18% of the distribution lies to the left of it?

3. What z-value corresponds to the 18th percentile?

4. Using the standard normal distribution, what is P(-2.32 aurant is selected at random, what is the probability the worker earns more than $6.50 an hour?

5. Using the standard normal distribution, what is P(1.8 nd 8.27% of the distribution lies to the left of 60. What is the mean?

6. At Northwest Nursing School, the average score a student must make on an entrance exam is 142 points with a standard deviation of 16 points. If the nursing school can only accept the top 15% of the applicants, what is the cutoff score a nurse must make to be considered for this school?

7. Using the standard normal distribution, what is P(z league play in the 2004 season. They want to price their tickets in the middle 64% range. If the average price of a ticket is $20 with a standard deviation of $3.50, what are the minimum and maximum prices that this franchise should charge?

8. The lengths of bolts produced at a factory are normally distributed with a mean of .75 inches and a standard deviation of .03 inches. What is the probability that a randomly selected bolt has a length of less than .82 inches?